The temperaments listed are 15edo-distinct, meaning that they are all different even if tuned in 15edo. The ordering is by increasing complexity of 6/5. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness.

5-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
15, 4	<<6 5 -6]]	Hanson	2.685	15552/15625
15, 2	<<3 5 1]]	Porcupine	1.663	250/243
5, 1	<<3 0 -7]]	Augmented	1.549	128/125
15, 1	<<9 5 -13]]	Valentine	4.056	1990656/1953125
3, 1	<<0 5 8]]	Blackwood	1.767	256/243
5, 2	<<6 15 10]]	Vinegar	4.599	16000000/14348907
15, 7	<<3 -5 -15]]	Progress	2.877	32768/30375

7-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
15, 4	<<6 5 3 -6 -12 -7]]	Keemun	2.280	49/48 126/125
15, 2	<<3 5 9 1 6 7]]	Opossum	1.895	28/27 126/125
5, 1	<<3 0 -6 -7 -18 -14]]	Augene	2.336	64/63 126/125
15, 1	<<6 10 3 2 -12 -21]]	Nautilus	2.943	49/48 250/243
3, 1	<<0 5 0 8 0 -14]]	Blacksmith	1.526	28/27 49/48
5, 2	<<6 0 3 -14 -12 7]]	Triforce	2.529	49/48 128/125
15, 7	<<3 10 9 9 6 -7]]	Kangaroo	2.626	28/27 1029/1000

11-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
15, 4	<<6 5 3 13 -6 -12 0 -7 13 26]]	Darjeeling	2.347	49/48 55/54 77/75
15, 2	<<3 5 9 4 1 6 -4 7 -8 -20]]	Opossum	1.692	28/27 55/54 77/75
5, 1	<<3 0 9 9 -7 6 4 21 21 -6]]	Inflated	2.102	28/27 55/54 128/125
15, 1	<<6 10 3 8 2 -12 -8 -21 -16 12]]	Nautilus	2.548	49/48 55/54 100/99
3, 1	<<0 5 0 -5 8 0 -8 -14 -29 -14]]	Blacksmith	1.825	28/27 49/48 55/54
5, 2	<<6 0 3 3 -14 -12 -16 7 7 -2]]	Triforce	2.201	49/48 56/55 77/75
15, 7	<<3 -5 -6 -1 -15 -18 -12 0 15 18]]	Progress	2.399	56/55 64/63 77/75

13-limit temperaments

Period, generator	Wedgie	Name	Complexity	Commas
15, 4	<<6 5 3 13 14 -6 -12 0 0 -7 13 14 26 28 0]]	Darjeeling	2.300	49/48 55/54 66/65 77/75
15, 2	<<3 5 9 4 2 1 6 -4 -8 7 -8 -14 -20 -28 -8]]	Opossum	1.655	28/27 40/39 55/54 66/65
5, 1	<<3 0 -6 -6 -3 -7 -18 -20 -16 -14 -14 -7 4 14 12]]	Augene	2.061	40/39 56/55 64/63 66/65
15, 1	<<6 10 3 8 4 2 -12 -8 -16 -21 -16 -28 12 0 -16]]	Belauensis	2.391	40/39 49/48 55/54 66/65
3, 1	<<0 5 0 -5 5 8 0 -8 8 -14 -29 -7 -14 14 36]]	Blacksmith	1.777	28/27 40/39 49/48 55/54
5, 2	<<6 0 3 3 9 -14 -12 -16 -8 7 7 21 -2 14 20]]	Triforce	2.105	49/48 56/55 66/65 77/75
15, 7	<<3 10 9 14 7 9 6 12 0 -7 -2 -21 8 -14 -28]]	Kangaroo	2.301	28/27 40/39 77/75 147/143